Andrei Kukharev, Gena Puninski, “Serial group rings of finite groups. General linear and close groups”, Algebra Discrete Math., 20:1 (2015), 115

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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 1, Pages 115–125 (Mi adm534)

This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

Serial group rings of finite groups. General linear and close groups

Andrei Kukharev, Gena Puninski

Faculty of Mathematics and Mechanics, Belarusian State University

Full-text PDF (324 kB) Citations (3)

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Abstract: For a given

$p$ , we determine when the

$p$ -modular group ring of a group from

$\mathrm{GL}(n,q)$ ,

$\mathrm{SL}(n,q)$ and

$\mathrm{PSL}(n,q)$ -series is serial.

Keywords: serial ring, group ring, general linear group, special linear group, projective special linear group.

Funding agency	Grant number
Belarusian Republican Foundation for Fundamental Research	F15RM-025
The research of the first author was supported by BRFFI grant F15RM-025.

Received: 11.05.2015
Revised: 12.07.2015

Bibliographic databases:

Document Type: Article

MSC: 20C05,20G40

Language: English

Citation: Andrei Kukharev, Gena Puninski, “Serial group rings of finite groups. General linear and close groups”, Algebra Discrete Math., 20:1 (2015), 115–125

Citation in format AMSBIB

\Bibitem{KukPun15}

\by Andrei~Kukharev, Gena~Puninski

\paper Serial group rings of finite groups. General linear and close groups

\jour Algebra Discrete Math.

\yr 2015

\vol 20

\issue 1

\pages 115--125

\mathnet{http://mi.mathnet.ru/adm534}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431954}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378728700009}

Linking options:

https://www.mathnet.ru/eng/adm534

https://www.mathnet.ru/eng/adm/v20/i1/p115

This publication is cited in the following 3 articles:

A. V. Kukharev, I. B. Kaygorodov, I. B. Gorshkov, “When the group ring of a simple finite group is serial”, J. Math. Sci. (N. Y.), 240:4 (2019), 481–493
A. V. Kukharev, G. E. Puninski, “Serial group rings of classical groups defined over fields with odd number of elements”, J. Math. Sci. (N. Y.), 232:5 (2018), 693–703
A. V. Kukharev, G. E. Puninski, “Serial group rings of finite simple groups of Lie type”, J. Math. Sci., 233:5 (2018), 695–701

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	366
Full-text PDF :	107
References:	96

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